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Finding the Fourth Proportional to 3,877.08, 5,815.62 and 1,280.01

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Solution

The fourth proportional to 3,877.08, 5,815.62 and 1,280.01 is: 1,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.08 : 5,815.62 = 1,280.01 : x
  2. Step 2: Convert to fraction form
    3,877.08/5,815.62 = 1,280.01/x
  3. Step 3: Cross multiply
    3,877.08x = 5,815.62 × 1,280.01
  4. Step 4: Simplify right side
    3,877.08x = 7,444,051.76
  5. Step 5: Solve for x
    x = 7,444,051.76/3,877.08
  6. Step 6: Final answer
    x = 1,920.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.